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Finding the Fourth Proportional to 19,960.64, 27,542.66 and 11,463.12

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Solution

The fourth proportional to 19,960.64, 27,542.66 and 11,463.12 is: 15,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960.64 : 27,542.66 = 11,463.12 : x
  2. Step 2: Convert to fraction form
    19,960.64/27,542.66 = 11,463.12/x
  3. Step 3: Cross multiply
    19,960.64x = 27,542.66 × 11,463.12
  4. Step 4: Simplify right side
    19,960.64x = 315,724,759.38
  5. Step 5: Solve for x
    x = 315,724,759.38/19,960.64
  6. Step 6: Final answer
    x = 15,817.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.